Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.2 5.7 6.7 4.5 6.3 5.9 5.4 6.4 4.9 5.9 4.3 7.2 4.7 5.4 5.9 5.5 6.4 6.7 5.7 5.3 6.3 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O H: H, = H2 = H3i H,: At least two means are equal. O H: H = H, = H3i H,: Exactly two means are equal. O H,: H, = H, = Hzi H,: Not all the means are equal. O H: H, = H2 = Hai H,: All three means are different. (b) Find SSTop SS BET, and SSw and check that SS707 = SS BET + SSw (Use 3 decimal places.) SSTOT= SS BET= SSw= BET d.f. w MS BET and MSw (Use 4 decimal places for MS BET and MSwr) df BET dfw = MS BET Find d.f MSw=

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A Math 2250 Unit 4 Post Test Re X
b My Questions | bartleby
x +
webassign.net/web/Student/Assignment-Responses/last?dep=24515412
Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species
of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples
of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below.
I
II
III
5.2
5.7
6.7
4.5
6.3
5.9
5.4
6.4
4.9
5.9
4.3
7.2
4.7
5.4
5.9
5.5
6.4
6.7
5.7
5.3
6.3
Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
Hoi H1 = H2=Hz; H;:
: At least two means are equal.
Ho: H1 = H2 = l3; H;: Exactly two means are equal.
Ho: H1 = H2 = l3; H;: Not all the means are equal.
Ho: H1 = H2 = µ3; H,: All three means are different.
(b) Find SSTOT SS BET' and SS
and check that SSTOT
= SS
BET
+ SSw. (Use 3 decimal places.)
M,
SS TOT
SS
BET
S,
%3D
Find d.f. BET
d.f. w'
MS,
BET, and MS,w: (Use 4 decimal places for MS
ВЕT
and MS w:)
df.
ВЕТ
df,
W
MS
ВЕТ
%D
MS
Find the value of the sample F statistic. (Use 2 decimal places.)
Transcribed Image Text:Content A Math 2250 Unit 4 Post Test Re X b My Questions | bartleby x + webassign.net/web/Student/Assignment-Responses/last?dep=24515412 Wild irises are beautiful flowers found throughout the United States, Canada, and northern Europe. This problem concerns the length of the sepal (leaf-like part covering the flower) of different species of wild iris. Data are based on information taken from an article by R. A. Fisher in Annals of Eugenics (Vol. 7, part 2, pp. 179 -188). Measurements of sepal length in centimeters from random samples of Iris setosa (I), Iris versicolor (II), and Iris virginica (III) are as follows below. I II III 5.2 5.7 6.7 4.5 6.3 5.9 5.4 6.4 4.9 5.9 4.3 7.2 4.7 5.4 5.9 5.5 6.4 6.7 5.7 5.3 6.3 Shall we reject or not reject the claim that there are no differences among the population means of sepal length for the different species of iris? Use a 5% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Hoi H1 = H2=Hz; H;: : At least two means are equal. Ho: H1 = H2 = l3; H;: Exactly two means are equal. Ho: H1 = H2 = l3; H;: Not all the means are equal. Ho: H1 = H2 = µ3; H,: All three means are different. (b) Find SSTOT SS BET' and SS and check that SSTOT = SS BET + SSw. (Use 3 decimal places.) M, SS TOT SS BET S, %3D Find d.f. BET d.f. w' MS, BET, and MS,w: (Use 4 decimal places for MS ВЕT and MS w:) df. ВЕТ df, W MS ВЕТ %D MS Find the value of the sample F statistic. (Use 2 decimal places.)
Content
W Math 2250 Unit 4 Post Test Re X
b My Questions | bartleby
x +
->
webassign.net/web/Student/Assignment-Responses/last?dep=24515412
Find the value of the sample F statistic. (Use 2 decimal places.)
What are the degrees of freedom?
(numerator)
(denominator)
(c) Find the P-value of the sample test statistic.
P-value > 0.100
0.050 < P-value < 0.100
0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.001 < P-value < 0.010
P-value < 0.001
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
0.05, we do not reject Ho:
Since the P-value is greater than the level of significance at a =
Since the P-value is less than or equal to the level of significance at a =
0.05, we reject Ho.
Since the P-value is greater than the level of significance at a =
0.05, we reject Ho.
Since the P-value is less than or equal to the level of significance at a =
0.05, we do not reject Ho:
(e) Interpret your conclusion in the context of the application.
O At the 5% level of significance there is insufficient evidence to conclude that the means are not all equal.
At the 5% level of significance there is sufficient evidence to conclude that the means are all equal.
At the 5% level of significance there is insufficient evidence to conclude that the means are all equal.
At the 5% level of significance there is sufficient evidence to conclude that the means are not all equal.
(f) Make a summary table for your ANOVA test.
Degrees of
Freedom
Source of
Sum of
F
Test
MS
P Value
Variation
Squares
Ratio
Decision
Between groups
---Select---
---Select---
Within groups
Total
Transcribed Image Text:Content W Math 2250 Unit 4 Post Test Re X b My Questions | bartleby x + -> webassign.net/web/Student/Assignment-Responses/last?dep=24515412 Find the value of the sample F statistic. (Use 2 decimal places.) What are the degrees of freedom? (numerator) (denominator) (c) Find the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.001 < P-value < 0.010 P-value < 0.001 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? 0.05, we do not reject Ho: Since the P-value is greater than the level of significance at a = Since the P-value is less than or equal to the level of significance at a = 0.05, we reject Ho. Since the P-value is greater than the level of significance at a = 0.05, we reject Ho. Since the P-value is less than or equal to the level of significance at a = 0.05, we do not reject Ho: (e) Interpret your conclusion in the context of the application. O At the 5% level of significance there is insufficient evidence to conclude that the means are not all equal. At the 5% level of significance there is sufficient evidence to conclude that the means are all equal. At the 5% level of significance there is insufficient evidence to conclude that the means are all equal. At the 5% level of significance there is sufficient evidence to conclude that the means are not all equal. (f) Make a summary table for your ANOVA test. Degrees of Freedom Source of Sum of F Test MS P Value Variation Squares Ratio Decision Between groups ---Select--- ---Select--- Within groups Total
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